Equations practice problems - page 34 of 236
Number of problems found: 4708
- Robinson on the island
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on
- Children 82574
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the
- Harvested 82570
Farmers on Mr. Dvořák's farm sowed 3.5 tons of feed mixture seeds after the harvested wheat. This seed was blended from oats and vetiver. We know that 1t of this seed was worth 2840 CZK, 1t of oats 3000 CZK, and 1t of vetiver 2800 CZK. From how many tons
- Two-thirds 82565
Karol spent half of his pocket money. He gave two-thirds of the rest to his friend Michal. He had 50 CZK left from his pocket money. A. Calculate how much money Karol gave Michal. B. Calculate how much money Karol received as pocket money.
- Factors 82564
The product of two whole numbers, one of which is 19 greater than the other, equals the number 416. Find both factors.
- Concentrations 82563
In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta
- Two 2
Two different harvesters harvested potatoes with an area of 6.6 ha in one shift when they were operating simultaneously. The area of land from which the less powerful harvester was able to harvest potatoes in six shifts, the more powerful harvester in
- Grandmother 82543
Michal is saving for a new computer. His parents gave him 130 euros, which was 26 percent of the total amount. He received 20 percent of the price of the computer from his grandmother, and his aunt added another 35 euros. How many euros does Michal still
- Roofers 82541
Three roofers cover a third of the roof in 10 days. In how many days would 5 roofers cover the entire roof at the same rate?
- Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas.
- Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned?
- Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1.
- Together 82509
The boys are 235 cm tall together. Pepa is 25 cm shorter than Petko. How tall are the boys?
- Subtracted 82507
I think two numbers. Their ratio is 5:7. If 3 is subtracted from the first and 7 from the second, then the ratio is 6:7. What number was I thinking?
- Gardening
In the gardening community, Mr. Strawberry had 16 liters of water in his barrel. Neighbor Malina had three times more water in his barrel than Mr. Strawberry. It started to rain and the same amount of water rained into both barrels. After the rain, Mr. Ma
- Misha 82482
Misha the bear slept 60 hours in one week. More than he was awake. How many hours per week did Mišo sleep?
- Taking 82481
There were pears in the basket. I took a third of them, which was 6 pears. How many pears were in the basket before taking it?
- Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many
- Denominations 82479
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there?
- Determine 82478
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line.
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